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Sonbull [250]
3 years ago
5

Which expressions is equivalent to 5(6xt3y)

Mathematics
1 answer:
Aloiza [94]3 years ago
6 0
30xt^3y is equivalent to 5(6xt3y)
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Now we have everything in order to replace into formula (1):

18-2.262\frac{2.75}{\sqrt{10}}=16.03    

18+2.262\frac{2.75}{\sqrt{10}}=19.97    

Step-by-step explanation:

Information given

\bar X=18 represent the sample mean

\mu population mean (variable of interest)

s=2.75 represent the sample standard deviation

n=10 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The degrees of freedom are given by:

df=n-1=10-1=9

The Confidence is 0.90 or 90%, the significance is \alpha=0.1 and \alpha/2 =0.05, and the critical vaue would be t_{\alpha/2}=2.262

Now we have everything in order to replace into formula (1):

18-2.262\frac{2.75}{\sqrt{10}}=16.03    

18+2.262\frac{2.75}{\sqrt{10}}=19.97    

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